Pith Number

pith:LR6M62UD

pith:2014:LR6M62UDOCVSZUPDDM6L44YJEE

not attested not anchored not stored refs pending

Sub-Laplacians on sub-Riemannian manifolds

Maria Gordina, Thomas Laetsch

arxiv:1412.0155 v1 · 2014-11-29 · math.DG

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LR6M62UDOCVSZUPDDM6L44YJEE}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:32:30.218895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c7ccf6a8370ab2cd1e31b3cbe7309213edee6a8061bcb136fe4fa35e6507b5c

Aliases

arxiv: 1412.0155 · arxiv_version: 1412.0155v1 · doi: 10.48550/arxiv.1412.0155 · pith_short_12: LR6M62UDOCVS · pith_short_16: LR6M62UDOCVSZUPD · pith_short_8: LR6M62UD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LR6M62UDOCVSZUPDDM6L44YJEE \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5c7ccf6a8370ab2cd1e31b3cbe7309213edee6a8061bcb136fe4fa35e6507b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d559c58640ee7eb310f4ee44e346a0af7e9cdc525fd177ebb1e7b08eb1817b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-11-29T21:21:21Z",
    "title_canon_sha256": "c18b1826dfd4d8c060e67c2cc3292e8e601b1facb45d5ae310cddf82ccd4735a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.0155",
    "kind": "arxiv",
    "version": 1
  }
}